Explanation Given: The functions, f ( x ) = 5 x 2 − 3 g ( x ) = − 4 x − 2 Formula used: The algebraic identity, ( a + b ) 2 = a 2 + 2 a b + b 2 Calculation: Put the value of g ( x ) = − 4 x − 2 in the function f ( x ) = 5 x 2 − 3 as below: f ( g ( x ) ) = f ( − 4 x − 2 ) = 5 ( − 4 x

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

8th Edition

ISBN: 9780137553464

Author: John Tobey, Jeffrey Slater

Publisher: PEARSON+

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter 11, Problem 57PFE

To determine

To calculate: The value of f[g(x)], if f(x)=5x2−3 and g(x)=−4x−2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 56PFE

Chapter 11, Problem 58PFE

Students have asked these similar questions

1) Express these large and small numbers from the Read and Study section in scientific notation: (a) 239,000 miles (b) 3,800,000,000,000 sheets of paper (c) 0.0000000000000000000000167 grams 2) Find all values for the variable x that make these equations true. (a) 5x = 1 (b) 3x = 1/1 9 (c) 4* = 11/ 4 (e) 4* = 64 (g) 10x = 1,000,000 (d) 3x=-3 (f) 2x = = 8 (h) 10x = 0.001

(b) 4) Find an equation to fit each of the following graphs: (a) 20 20 18 16 14 12 10 8 6 4 2 24 22 20 18 16 14 12 10 8 16 A 2 -3 -2 -1-0 2 3 4. -1 0 1 2 3. -2 -2

3) Which of the following are equivalent to 3? (There may be more than one that is equivalent!) -1 (a) (9)¯¹ 3. (b) (-3)-1 (c) (-3) -1 (d) -(¯3) (e) 11 3-1 (f) 3-4

Chapter 11 Solutions

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - Prob. 13E Ch. 11.1 - Graph each function. f ( x ) = 2 x − 4 Ch. 11.1 - Prob. 15E Ch. 11.1 - Prob. 16E Ch. 11.1 - Prob. 17E Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - Prob. 31E Ch. 11.1 - Prob. 32E Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - Prob. 37E Ch. 11.1 - Prob. 38E Ch. 11.1 - Prob. 39E Ch. 11.1 - Prob. 40E Ch. 11.1 - Prob. 41E Ch. 11.1 - Prob. 42E Ch. 11.1 - Prob. 43E Ch. 11.1 - Prob. 44E Ch. 11.1 - Prob. 45E Ch. 11.1 - Prob. 46E Ch. 11.1 - Use an exponential equation to solve each problem....Ch. 11.1 - Use an exponential equation to solve each problem....Ch. 11.1 - Prob. 49E Ch. 11.1 - Prob. 50E Ch. 11.1 - Prob. 51E Ch. 11.1 - Prob. 52E Ch. 11.1 - Prob. 53E Ch. 11.1 - Prob. 54E Ch. 11.1 - Prob. 55E Ch. 11.1 - World Population Since the year 1750, the...Ch. 11.1 - Prob. 57E Ch. 11.1 - Prob. 58E Ch. 11.1 - Prob. 1QQ Ch. 11.1 - Prob. 2QQ Ch. 11.1 - Prob. 3QQ Ch. 11.1 - Prob. 4QQ Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Verbal and Writing Skills, Exercises 1-4 In the...Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Prob. 14E Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - Prob. 29E Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Prob. 32E Ch. 11.2 - Prob. 33E Ch. 11.2 - Prob. 34E Ch. 11.2 - Prob. 35E Ch. 11.2 - Prob. 36E Ch. 11.2 - Prob. 37E Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Prob. 41E Ch. 11.2 - Prob. 42E Ch. 11.2 - Prob. 43E Ch. 11.2 - Prob. 44E Ch. 11.2 - Prob. 45E Ch. 11.2 - Prob. 46E Ch. 11.2 - Prob. 47E Ch. 11.2 - Prob. 48E Ch. 11.2 - Prob. 49E Ch. 11.2 - Prob. 50E Ch. 11.2 - Prob. 51E Ch. 11.2 - Prob. 52E Ch. 11.2 - Prob. 53E Ch. 11.2 - Prob. 54E Ch. 11.2 - Prob. 55E Ch. 11.2 - Prob. 56E Ch. 11.2 - Prob. 57E Ch. 11.2 - Prob. 58E Ch. 11.2 - Prob. 59E Ch. 11.2 - Prob. 60E Ch. 11.2 - Prob. 61E Ch. 11.2 - Prob. 62E Ch. 11.2 - On one coordinate plane, graph the function f and...Ch. 11.2 - Prob. 64E Ch. 11.2 - Prob. 65E Ch. 11.2 - Prob. 66E Ch. 11.2 - Prob. 67E Ch. 11.2 - Prob. 68E Ch. 11.2 - Prob. 69E Ch. 11.2 - Prob. 70E Ch. 11.2 - Prob. 71E Ch. 11.2 - Prob. 72E Ch. 11.2 - Prob. 73E Ch. 11.2 - Prob. 74E Ch. 11.2 - Prob. 75E Ch. 11.2 - Cumulative Review [3.2.1] Find the slope of the...Ch. 11.2 - Cumulative Review [11.1.3] Viral Culture The...Ch. 11.2 - Prob. 78E Ch. 11.2 - Prob. 1QQ Ch. 11.2 - Prob. 2QQ Ch. 11.2 - 3. Solve for w. Ch. 11.2 - Prob. 4QQ Ch. 11.3 - Express as a sum of logarithms. log 3 A B Ch. 11.3 - Prob. 2E Ch. 11.3 - Prob. 3E Ch. 11.3 - Prob. 4E Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Prob. 9E Ch. 11.3 - Prob. 10E Ch. 11.3 - Prob. 11E Ch. 11.3 - Prob. 12E Ch. 11.3 - Prob. 13E Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - Prob. 16E Ch. 11.3 - Prob. 17E Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.3 - Prob. 20E Ch. 11.3 - Prob. 21E Ch. 11.3 - Prob. 22E Ch. 11.3 - Prob. 23E Ch. 11.3 - Prob. 24E Ch. 11.3 - Prob. 25E Ch. 11.3 - Prob. 26E Ch. 11.3 - Prob. 27E Ch. 11.3 - Prob. 28E Ch. 11.3 - Prob. 29E Ch. 11.3 - Prob. 30E Ch. 11.3 - Prob. 31E Ch. 11.3 - Prob. 32E Ch. 11.3 - Prob. 33E Ch. 11.3 - Prob. 34E Ch. 11.3 - Prob. 35E Ch. 11.3 - Prob. 36E Ch. 11.3 - Prob. 37E Ch. 11.3 - Prob. 38E Ch. 11.3 - Prob. 39E Ch. 11.3 - Prob. 40E Ch. 11.3 - Prob. 41E Ch. 11.3 - Prob. 42E Ch. 11.3 - Prob. 43E Ch. 11.3 - Prob. 44E Ch. 11.3 - Prob. 45E Ch. 11.3 - Prob. 46E Ch. 11.3 - Prob. 47E Ch. 11.3 - Prob. 48E Ch. 11.3 - Prob. 49E Ch. 11.3 - Prob. 50E Ch. 11.3 - Prob. 51E Ch. 11.3 - Prob. 52E Ch. 11.3 - Prob. 53E Ch. 11.3 - Prob. 54E Ch. 11.3 - Prob. 55E Ch. 11.3 - Prob. 56E Ch. 11.3 - Prob. 57E Ch. 11.3 - Prob. 58E Ch. 11.3 - Prob. 59E Ch. 11.3 - Prob. 60E Ch. 11.3 - Prob. 61E Ch. 11.3 - Prob. 62E Ch. 11.3 - Prob. 63E Ch. 11.3 - Prob. 64E Ch. 11.3 - Prob. 65E Ch. 11.3 - Prob. 66E Ch. 11.3 - Prob. 1QQ Ch. 11.3 - Prob. 2QQ Ch. 11.3 - Prob. 3QQ Ch. 11.3 - Prob. 4QQ Ch. 11.4 - Prob. 1E Ch. 11.4 - Prob. 2E Ch. 11.4 - Prob. 3E Ch. 11.4 - Prob. 4E Ch. 11.4 - Prob. 5E Ch. 11.4 - Prob. 6E Ch. 11.4 - Prob. 7E Ch. 11.4 - Prob. 8E Ch. 11.4 - Prob. 9E Ch. 11.4 - Prob. 10E Ch. 11.4 - Prob. 11E Ch. 11.4 - Prob. 12E Ch. 11.4 - Prob. 13E Ch. 11.4 - Prob. 14E Ch. 11.4 - Prob. 15E Ch. 11.4 - Prob. 16E Ch. 11.4 - Prob. 17E Ch. 11.4 - Prob. 18E Ch. 11.4 - Prob. 19E Ch. 11.4 - Prob. 20E Ch. 11.4 - Prob. 21E Ch. 11.4 - Prob. 22E Ch. 11.4 - Find an approximate value for x using a scientific...Ch. 11.4 - Find an approximate value for x using a scientific...Ch. 11.4 - Approximate the following with a scientific...Ch. 11.4 - Prob. 26E Ch. 11.4 - Prob. 27E Ch. 11.4 - Prob. 28E Ch. 11.4 - Prob. 29E Ch. 11.4 - Prob. 30E Ch. 11.4 - Prob. 31E Ch. 11.4 - Prob. 32E Ch. 11.4 - Approximate the following with a scientific...Ch. 11.4 - Prob. 34E Ch. 11.4 - Approximate the following with a scientific...Ch. 11.4 - Approximate the following with a scientific...Ch. 11.4 - Prob. 37E Ch. 11.4 - Prob. 38E Ch. 11.4 - Prob. 39E Ch. 11.4 - Prob. 40E Ch. 11.4 - Prob. 41E Ch. 11.4 - Prob. 42E Ch. 11.4 - Prob. 43E Ch. 11.4 - Prob. 44E Ch. 11.4 - Prob. 45E Ch. 11.4 - Prob. 46E Ch. 11.4 - Prob. 47E Ch. 11.4 - Prob. 48E Ch. 11.4 - Prob. 49E Ch. 11.4 - Prob. 50E Ch. 11.4 - Prob. 51E Ch. 11.4 - Use a scientific calculator or a graphing...Ch. 11.4 - Prob. 53E Ch. 11.4 - Prob. 54E Ch. 11.4 - Prob. 55E Ch. 11.4 - Prob. 56E Ch. 11.4 - Prob. 57E Ch. 11.4 - Prob. 58E Ch. 11.4 - Prob. 59E Ch. 11.4 - Prob. 60E Ch. 11.4 - Prob. 61E Ch. 11.4 - Prob. 62E Ch. 11.4 - Prob. 63E Ch. 11.4 - Prob. 64E Ch. 11.4 - Prob. 65E Ch. 11.4 - Prob. 66E Ch. 11.4 - Prob. 67E Ch. 11.4 - Prob. 68E Ch. 11.4 - Prob. 69E Ch. 11.4 - Prob. 70E Ch. 11.4 - Prob. 71E Ch. 11.4 - Prob. 72E Ch. 11.4 - Prob. 73E Ch. 11.4 - Prob. 74E Ch. 11.4 - Prob. 75E Ch. 11.4 - Prob. 76E Ch. 11.4 - Prob. 77E Ch. 11.4 - Prob. 78E Ch. 11.4 - Prob. 79E Ch. 11.4 - Prob. 80E Ch. 11.4 - Prob. 81E Ch. 11.4 - Prob. 82E Ch. 11.4 - Prob. 1QQ Ch. 11.4 - Prob. 2QQ Ch. 11.4 - Prob. 3QQ Ch. 11.4 - Prob. 4QQ Ch. 11.5 - Prob. 1E Ch. 11.5 - Prob. 2E Ch. 11.5 - Prob. 3E Ch. 11.5 - Prob. 4E Ch. 11.5 - Prob. 5E Ch. 11.5 - Prob. 6E Ch. 11.5 - Prob. 7E Ch. 11.5 - Prob. 8E Ch. 11.5 - Prob. 9E Ch. 11.5 - Prob. 10E Ch. 11.5 - Prob. 11E Ch. 11.5 - Prob. 12E Ch. 11.5 - Prob. 13E Ch. 11.5 - Prob. 14E Ch. 11.5 - Prob. 15E Ch. 11.5 - Prob. 16E Ch. 11.5 - Prob. 17E Ch. 11.5 - Prob. 18E Ch. 11.5 - Prob. 19E Ch. 11.5 - Prob. 20E Ch. 11.5 - Prob. 21E Ch. 11.5 - Prob. 22E Ch. 11.5 - Prob. 23E Ch. 11.5 - Prob. 24E Ch. 11.5 - Prob. 25E Ch. 11.5 - Prob. 26E Ch. 11.5 - Prob. 27E Ch. 11.5 - Prob. 28E Ch. 11.5 - Prob. 29E Ch. 11.5 - Prob. 30E Ch. 11.5 - Prob. 31E Ch. 11.5 - Prob. 32E Ch. 11.5 - Prob. 33E Ch. 11.5 - Prob. 34E Ch. 11.5 - Financial Planner One part of the job of a...Ch. 11.5 - Prob. 36E Ch. 11.5 - Prob. 37E Ch. 11.5 - Prob. 38E Ch. 11.5 - Financial Planner One part of the job of a...Ch. 11.5 - Prob. 40E Ch. 11.5 - Prob. 41E Ch. 11.5 - Prob. 42E Ch. 11.5 - Prob. 43E Ch. 11.5 - Prob. 44E Ch. 11.5 - Prob. 45E Ch. 11.5 - Prob. 46E Ch. 11.5 - Prob. 47E Ch. 11.5 - Prob. 48E Ch. 11.5 - Prob. 49E Ch. 11.5 - Prob. 50E Ch. 11.5 - Prob. 51E Ch. 11.5 - Prob. 52E Ch. 11.5 - Prob. 53E Ch. 11.5 - Prob. 54E Ch. 11.5 - Prob. 55E Ch. 11.5 - Prob. 56E Ch. 11.5 - Prob. 57E Ch. 11.5 - Prob. 58E Ch. 11.5 - Prob. 59E Ch. 11.5 - Prob. 60E Ch. 11.5 - Prob. 61E Ch. 11.5 - Prob. 62E Ch. 11.5 - Prob. 1QQ Ch. 11.5 - Prob. 2QQ Ch. 11.5 - Prob. 3QQ Ch. 11.5 - Prob. 4QQ Ch. 11 - Prob. 1RP Ch. 11 - Prob. 2RP Ch. 11 - Prob. 3RP Ch. 11 - Prob. 4RP Ch. 11 - Prob. 5RP Ch. 11 - Prob. 6RP Ch. 11 - Prob. 7RP Ch. 11 - Prob. 8RP Ch. 11 - Prob. 9RP Ch. 11 - Prob. 10RP Ch. 11 - Prob. 11RP Ch. 11 - Prob. 12RP Ch. 11 - Prob. 13RP Ch. 11 - Prob. 14RP Ch. 11 - Prob. 15RP Ch. 11 - Prob. 16RP Ch. 11 - Prob. 17RP Ch. 11 - Prob. 18RP Ch. 11 - Prob. 19RP Ch. 11 - Prob. 20RP Ch. 11 - Prob. 21RP Ch. 11 - Prob. 22RP Ch. 11 - Prob. 23RP Ch. 11 - Prob. 24RP Ch. 11 - Prob. 25RP Ch. 11 - Prob. 26RP Ch. 11 - Prob. 27RP Ch. 11 - Prob. 28RP Ch. 11 - Prob. 29RP Ch. 11 - Prob. 30RP Ch. 11 - Prob. 31RP Ch. 11 - Prob. 32RP Ch. 11 - Prob. 33RP Ch. 11 - Prob. 34RP Ch. 11 - Prob. 35RP Ch. 11 - Prob. 36RP Ch. 11 - Prob. 37RP Ch. 11 - Prob. 38RP Ch. 11 - Prob. 39RP Ch. 11 - Prob. 40RP Ch. 11 - Prob. 41RP Ch. 11 - Prob. 42RP Ch. 11 - Prob. 43RP Ch. 11 - Prob. 44RP Ch. 11 - Prob. 45RP Ch. 11 - Prob. 46RP Ch. 11 - Prob. 1T Ch. 11 - Prob. 2T Ch. 11 - Prob. 3T Ch. 11 - Prob. 4T Ch. 11 - Prob. 5T Ch. 11 - Prob. 6T Ch. 11 - Prob. 7T Ch. 11 - Prob. 8T Ch. 11 - Prob. 9T Ch. 11 - Prob. 10T Ch. 11 - Prob. 11T Ch. 11 - Prob. 12T Ch. 11 - Prob. 13T Ch. 11 - Prob. 14T Ch. 11 - Prob. 15T Ch. 11 - Prob. 16T Ch. 11 - Prob. 17T Ch. 11 - Prob. 1PFE Ch. 11 - Prob. 2PFE Ch. 11 - Prob. 3PFE Ch. 11 - Prob. 4PFE Ch. 11 - Prob. 5PFE Ch. 11 - Prob. 6PFE Ch. 11 - Prob. 7PFE Ch. 11 - Prob. 8PFE Ch. 11 - Prob. 9PFE Ch. 11 - Review Chapters 1-11 and then try to solve the...Ch. 11 - Prob. 11PFE Ch. 11 - Prob. 12PFE Ch. 11 - Prob. 13PFE Ch. 11 - Prob. 14PFE Ch. 11 - Prob. 15PFE Ch. 11 - Prob. 16PFE Ch. 11 - Prob. 17PFE Ch. 11 - Prob. 18PFE Ch. 11 - Prob. 19PFE Ch. 11 - Prob. 20PFE Ch. 11 - Prob. 21PFE Ch. 11 - Prob. 22PFE Ch. 11 - Prob. 23PFE Ch. 11 - Prob. 24PFE Ch. 11 - Prob. 25PFE Ch. 11 - Prob. 26PFE Ch. 11 - Prob. 27PFE Ch. 11 - Prob. 28PFE Ch. 11 - Prob. 29PFE Ch. 11 - Prob. 30PFE Ch. 11 - Prob. 31PFE Ch. 11 - Prob. 32PFE Ch. 11 - Prob. 33PFE Ch. 11 - Prob. 34PFE Ch. 11 - Prob. 35PFE Ch. 11 - Prob. 36PFE Ch. 11 - Prob. 37PFE Ch. 11 - Prob. 38PFE Ch. 11 - Prob. 39PFE Ch. 11 - Prob. 40PFE Ch. 11 - Prob. 41PFE Ch. 11 - Prob. 42PFE Ch. 11 - Prob. 43PFE Ch. 11 - Prob. 44PFE Ch. 11 - Prob. 45PFE Ch. 11 - Prob. 46PFE Ch. 11 - Prob. 47PFE Ch. 11 - Prob. 48PFE Ch. 11 - Prob. 49PFE Ch. 11 - Prob. 50PFE Ch. 11 - Prob. 51PFE Ch. 11 - Prob. 52PFE Ch. 11 - Prob. 53PFE Ch. 11 - Prob. 54PFE Ch. 11 - Prob. 55PFE Ch. 11 - Prob. 56PFE Ch. 11 - Prob. 57PFE Ch. 11 - Prob. 58PFE Ch. 11 - Prob. 59PFE Ch. 11 - Prob. 60PFE Ch. 11 - Prob. 61PFE Ch. 11 - Prob. 62PFE Ch. 11 - Prob. 63PFE Ch. 11 - Prob. 64PFE

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The value of f [ g ( x ) ] , if f ( x ) = 5 x 2 − 3 and g ( x ) = − 4 x − 2 .

Solution Summary: The author explains how to calculate the value of f(x)=4x-2.

Concept explainers

Videos

To calculate: The value of f[g(x)], if f(x)=5x2−3 and g(x)=−4x−2.

Want to see the full answer?

Chapter 11 Solutions